Question

which statement about the scatterplot is true?
the point (2, 10) shows that there is no relationship between the packing time and the number of boxes.
although (2, 10) is an extreme value, it should be part of the description of the relationship between packing time and number of boxes.
including the point (2, 10) could cause the description of the data set to be understated.
including the point (2, 10) could cause the description of the data set to be overstated.

Explanation:

Step1: Analyze the scatter - plot

A scatter - plot shows the relationship between two variables (packing time and number of boxes). An extreme value (outlier) like \((2,10)\) is a data point that is far from the general pattern of the other data points.

Step2: Consider the effect of an outlier

Including an outlier can affect the description of the data set. If the general trend (excluding \((2,10)\)) shows a certain relationship (e.g., a more moderate increase in the number of boxes with time), adding \((2,10)\) (a point with a relatively low time and high number of boxes compared to the general trend of most other points) can make the relationship seem stronger than it actually is for the majority of the data. For example, if we were to calculate a correlation coefficient or describe the slope of a trend line, the outlier \((2,10)\) would pull the trend upwards more than the non - outlier data points would suggest.

Answer:

Including the point \((2, 10)\) could cause the description of the data set to be overstated.